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Finding the Fourth Proportional to 10,461.66, 14,448.42 and 6,492.24

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Solution

The fourth proportional to 10,461.66, 14,448.42 and 6,492.24 is: 8,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.66 : 14,448.42 = 6,492.24 : x
  2. Step 2: Convert to fraction form
    10,461.66/14,448.42 = 6,492.24/x
  3. Step 3: Cross multiply
    10,461.66x = 14,448.42 × 6,492.24
  4. Step 4: Simplify right side
    10,461.66x = 93,802,610.26
  5. Step 5: Solve for x
    x = 93,802,610.26/10,461.66
  6. Step 6: Final answer
    x = 8,966.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.